岛屿数量

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给你一个由 '1'(陆地)和 '0'(水)组成的的二维网格,请你计算网格中岛屿的数量。

岛屿总是被水包围,并且每座岛屿只能由水平方向和/或竖直方向上相邻的陆地连接形成。

此外,你可以假设该网格的四条边均被水包围。

 

示例 1:

输入: grid = [  ["1","1","1","1","0"],
  ["1","1","0","1","0"],
  ["1","1","0","0","0"],
  ["0","0","0","0","0"]
]
输出: 1

示例 2:

输入: grid = [  ["1","1","0","0","0"],
  ["1","1","0","0","0"],
  ["0","0","1","0","0"],
  ["0","0","0","1","1"]
]
输出: 3

 

提示:

  • m == grid.length

  • n == grid[i].length

  • 1 <= m, n <= 300

  • grid[i][j] 的值为 '0''1' 思路

    首先遍历整个矩阵,对于每个格子,如果它是一个未被访问过的岛屿,就进行 DFS 遍历,并将遍历到的所有岛屿标记为 '2'。这样可以避免重复计数,因为同一个岛屿可能被多次遍历到。 在 DFS 遍历中,对于每个格子,如果它是一个岛屿,就将其标记为 '2',然后分别检查它的上、下、左、右四个方向上的格子是否也是岛屿,如果是,就递归地进行 DFS 遍历。最终,岛屿数量就是进行 DFS 遍历的次数

复杂度

时间复杂度:

O(m∗n)O(m*n)O(m∗n)

空间复杂度:

O(m∗n)O(m*n)O(m∗n)